The Universe has survived and changed for millions of years - mostly without the influence of man kind ... and will likely continue to do so!
Yes, the universe will survive, or not, but it's a moot point if we mess up the only planet we can inhabit, at this point.
The story of our stewardship of this planet is extremely complicated, much is still unknown, and unfortunately those that call themselves our leaders and make their living on spreading fear and selling solutions are finding it a fertile ground for their trade. (From ALL sides, I am not supporting anyone here, they are ALL crooks.)
That said, there's an awful lot of us these days and our numbers are increasing exponentially. So is our ability to use the resources around us to shape our environment for better, or for worse.
It will at some point become a matter of survival of the species to reach consensus on how we interact with the world around us.
Whether that moment is now or not.... is up for debate. Consensus is a long, long ways away on this, and many other matters.
So far the human species has a pretty poor track record in the way we treat each other and the world around us.
I'll be gone, long gone but it is something to think about.